噪声环境下圆度误差分离的统一方法

A Generalized Method for Separating Roundness Error under Noise Environment

提出了一种噪声环境下圆度误差分离的统一方法。这种方法利用频域测量矩阵直接给出了圆度形状误差和回转误差的最小二乘解或最小均方误差解。频域测量矩阵的范数反映了噪声对误差分离结果的影响程度。介绍了圆度误差分离中的频域最小范数混合解,这种混合解比最小二乘解和最小均方误差解具有更好的噪声抑制效果。

A generalized method for roundness error separation under noise environment was presented. The least square solution and minimum mean square error （MMSE） solution for roundness error and spindle error was derived by measurement matrix in frequency-domain. The norm of measurement matrix is a metric of impact on the roundness error separation under noise environment. A new hybrid minimum norm solution in frequency domain was also considered, which is better in suppressing the impact of noise on error separation than that of least square solution and MMSE solution.